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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.22782 |
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| _version_ | 1866918516870873088 |
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| author | Liu, Jihao Hu, Ruicheng Qin, Sheng |
| author_facet | Liu, Jihao Hu, Ruicheng Qin, Sheng |
| contents | We show that the total Cartier index of varieties with rational singularities in a bounded family is bounded. This solves a problem of Han and Jiang. The overall structure of the proof, which treats the surface case and the higher-dimensional case separately, was originated by generative AI, particularly the Rethlas system, and was substantially corrected and elaborated by hand. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22782 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boundedness of total Cartier indices for rational singularities in families Liu, Jihao Hu, Ruicheng Qin, Sheng Algebraic Geometry 14B05, 14E30, 14D06, 14F45 We show that the total Cartier index of varieties with rational singularities in a bounded family is bounded. This solves a problem of Han and Jiang. The overall structure of the proof, which treats the surface case and the higher-dimensional case separately, was originated by generative AI, particularly the Rethlas system, and was substantially corrected and elaborated by hand. |
| title | Boundedness of total Cartier indices for rational singularities in families |
| topic | Algebraic Geometry 14B05, 14E30, 14D06, 14F45 |
| url | https://arxiv.org/abs/2605.22782 |